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Finding the Fourth Proportional to 768,134, 1,151,832.96 and 362,989.04

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Solution

The fourth proportional to 768,134, 1,151,832.96 and 362,989.04 is: 544,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,134 : 1,151,832.96 = 362,989.04 : x
  2. Step 2: Convert to fraction form
    768,134/1,151,832.96 = 362,989.04/x
  3. Step 3: Cross multiply
    768,134x = 1,151,832.96 × 362,989.04
  4. Step 4: Simplify right side
    768,134x = 418,102,740,390.76
  5. Step 5: Solve for x
    x = 418,102,740,390.76/768,134
  6. Step 6: Final answer
    x = 544,309.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.